In a large water tank experiment, water waves are generated with straight, parallel wave fronts, 3.00 m apart. The wave fronts pass through two openings 5.00 m apart in a long board. The end of the tank is 3.00 m beyond the board. Where would you stand, relative to the perpendicular bisector of the line between the openings, if you want to receive little or no wave action?
Xn/L = (n-0.5)wavelength/d
n is the number of the nodal line, xn is the distance from the bisector to the point on the nodal line, d is the distance between both sources and L is the distance from the midpoint of both sources to the point on the nodal line.
The Attempt at a Solution
For little to no wave action I know the person has to be standing on a nodal line, and the distance from the right bisector to that point would be Xn.
What I've gathered from the question is that the wave length is 3m, d=5m, and L = 3m, and I think n is 1.
However, when I use these numbers i get an answer of 0.9m, when the answer in the back of the book is 1.25m.
This is the answer in the solution manual and I have no clue how they got the wavelength to be 1m, the d to be 2m and the L to be 5m. Help is appreciated.